mirror of https://github.com/CGAL/cgal
98 lines
3.8 KiB
TeX
98 lines
3.8 KiB
TeX
% +------------------------------------------------------------------------+
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% | Reference manual page: Bitangent.tex
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% +------------------------------------------------------------------------+
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% | Last revision: 09.07.2002
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% | Author : Pierre Angelier <Pierre.Angelier@ens.fr>
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% | Maintainer: Laurent Rineau <Laurent.Rineau@ens.fr>
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% | Package: Visibility_complex
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% +------------------------------------------------------------------------+
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\ccRefPageBegin
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%%RefPage: end of header, begin of main body
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% +------------------------------------------------------------------------+
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\begin{ccRefConcept}{Bitangent}
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\label{pageBitangentRef}
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% ------------------------------------------------------------------------------
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\ccDefinition
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The \ccRefName\ concept defines the minimal requirement for the local
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\ccc{Bitangent} type of the \ccc{VisibilityComplexTraits} concept. The
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\ccc{Bitangent} type is used as a base class for the concept
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VisibilityComplexVertex \ccIndexMainItem[c]{VisibilityComplexVertex}.
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A bitangent is a directed line segment tangent to two disks. The relative
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positions of these two disks with respect to the supporting line of the
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bitangents are coded in the \ccc{Type} information. There are four possible
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types: \ccc{RR, LL, RL} and \ccc{LR}.
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% ------------------------------------------------------------------------------
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% ------------------------------------------------------------------------------
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\ccTypes
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%\ccThree{aaaaaaaaBitangent_2}{aaaaaaaaDisk_handle}{}
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%\ccThreeToTwo
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\ccNestedType{Disk}{type of disks defining the bitangent. }
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\ccGlue
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\ccNestedType{Disk_handle}{handle to a \ccc{Disk}. }
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\ccGlue
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\ccNestedType{Arc}{type following the requirements of the \ccc{Arc} concept
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\ccIndexMainItem[c]{Arc}].}
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\ccGlue
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\ccNestedType{Arc_handle}{handle to an \ccc{Arc}. }
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\ccGlue
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\ccNestedType{Type}{enumerated type to specify the type of the bitangent. The
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possible values are \ccc{LL,RR,RL} or \ccc{LR} respectively
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for left-left,right-right,right-left and left-right
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bitangents.}{}
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% ------------------------------------------------------------------------------
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% ------------------------------------------------------------------------------
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\ccThree{Disk_handle}{ b.source_object(); }{}
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\ccThreeToTwo
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\ccCreation
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\ccCreationVariable{b}
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\ccConstructor{Bitangent();}{default constructor.}
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\ccGlue
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\ccConstructor{Bitangent(Type t, Disk_handle source, Disk_handle target);}
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{ Creates the bitangent with type t directed from source to target. }
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\ccGlue
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\ccConstructor{Bitangent(Type t, Arc_handle source, Arc_handle target);}
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{ Creates the bitangent with type t directed from the arc source to the arc
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target. If the two arcs do not have a common bitangent, the constructor is equal
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to the default constructor. }
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% ------------------------------------------------------------------------------
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\ccOperations
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\ccTagFullDeclarations
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\ccMethod{Type type();}{returns the type of \ccVar.}
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\ccGlue
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\ccMethod{Disk_handle source_object();}{returns a handle to the source disk.}
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\ccGlue
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\ccMethod{Disk_handle target_object();}{returns a handle to the target disk.}
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% ------------------------------------------------------------------------------
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% ------------------------------------------------------------------------------
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\ccHasModels
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\ccRefIdfierPage{CGAL::Bitangent_2<Disk>}
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% ------------------------------------------------------------------------------
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% ------------------------------------------------------------------------------
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\ccSeeAlso
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\ccRefConceptPage{VisibilityComplexVertex}\\
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\ccRefConceptPage{VisibilityComplexTraits}
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% ------------------------------------------------------------------------------
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% +------------------------------------------------------------------------+
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\ccTagDefaults
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\end{ccRefConcept}
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\ccRefPageEnd
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% +------------------------------------------------------------------------+
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